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Finding the Fourth Proportional to 17,189.38, 23,716.92 and 10,114.48

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Solution

The fourth proportional to 17,189.38, 23,716.92 and 10,114.48 is: 13,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.38 : 23,716.92 = 10,114.48 : x
  2. Step 2: Convert to fraction form
    17,189.38/23,716.92 = 10,114.48/x
  3. Step 3: Cross multiply
    17,189.38x = 23,716.92 × 10,114.48
  4. Step 4: Simplify right side
    17,189.38x = 239,884,313.00
  5. Step 5: Solve for x
    x = 239,884,313.00/17,189.38
  6. Step 6: Final answer
    x = 13,955.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.